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Finding the Fourth Proportional to 2,322.66, 3,488.84 and 1,958.16

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Solution

The fourth proportional to 2,322.66, 3,488.84 and 1,958.16 is: 2,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.66 : 3,488.84 = 1,958.16 : x
  2. Step 2: Convert to fraction form
    2,322.66/3,488.84 = 1,958.16/x
  3. Step 3: Cross multiply
    2,322.66x = 3,488.84 × 1,958.16
  4. Step 4: Simplify right side
    2,322.66x = 6,831,706.93
  5. Step 5: Solve for x
    x = 6,831,706.93/2,322.66
  6. Step 6: Final answer
    x = 2,941.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.